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人体股骨在轴向和扭转载荷下的生物力学:有限元分析、人体尸体股骨和合成股骨的比较。

The biomechanics of human femurs in axial and torsional loading: comparison of finite element analysis, human cadaveric femurs, and synthetic femurs.

作者信息

Papini M, Zdero R, Schemitsch E H, Zalzal P

机构信息

Department of Mechanical and Industrial Engineering, Ryerson University, 350 Victoria Street, Toronto, Ontario, Canada M5B 2K3.

出版信息

J Biomech Eng. 2007 Feb;129(1):12-9. doi: 10.1115/1.2401178.

Abstract

To assess the performance of femoral orthopedic implants, they are often attached to cadaveric femurs, and biomechanical testing is performed. To identify areas of high stress, stress shielding, and to facilitate implant redesign, these tests are often accompanied by finite element (FE) models of the bone/implant system. However, cadaveric bone suffers from wide specimen to specimen variability both in terms of bone geometry and mechanical properties, making it virtually impossible for experimental results to be reproduced. An alternative approach is to utilize synthetic femurs of standardized geometry, having material behavior approximating that of human bone, but with very small specimen to specimen variability. This approach allows for repeatable experimental results and a standard geometry for use in accompanying FE models. While the synthetic bones appear to be of appropriate geometry to simulate bone mechanical behavior, it has not, however, been established what bone quality they most resemble, i.e., osteoporotic or osteopenic versus healthy bone. Furthermore, it is also of interest to determine whether FE models of synthetic bones, with appropriate adjustments in input material properties or geometric size, could be used to simulate the mechanical behavior of a wider range of bone quality and size. To shed light on these questions, the axial and torsional stiffness of cadaveric femurs were compared to those measured on synthetic femurs. A FE model, previously validated by the authors to represent the geometry of a synthetic femur, was then used with a range of input material properties and change in geometric size, to establish whether cadaveric results could be simulated. Axial and torsional stiffnesses and rigidities were measured for 25 human cadaveric femurs (simulating poor bone stock) and three synthetic "third generation composite" femurs (3GCF) (simulating normal healthy bone stock) in the midstance orientation. The measured results were compared, under identical loading conditions, to those predicted by a previously validated three-dimensional finite element model of the 3GCF at a variety of Young's modulus values. A smaller FE model of the 3GCF was also created to examine the effects of a simple change in bone size. The 3GCF was found to be significantly stiffer (2.3 times in torsional loading, 1.7 times in axial loading) than the presently utilized cadaveric samples. Nevertheless, the FE model was able to successfully simulate both the behavior of the 3GCF, and a wide range of cadaveric bone data scatter by an appropriate adjustment of Young's modulus or geometric size. The synthetic femur had a significantly higher stiffness than the cadaveric bone samples. The finite element model provided a good estimate of upper and lower bounds for the axial and torsional stiffness of human femurs because it was effective at reproducing the geometric properties of a femur. Cadaveric bone experiments can be used to calibrate FE models' input material properties so that bones of varying quality can be simulated.

摘要

为评估股骨矫形植入物的性能,通常将其附着在尸体股骨上并进行生物力学测试。为确定高应力区域、应力遮挡情况并便于植入物重新设计,这些测试常伴有骨/植入物系统的有限元(FE)模型。然而,尸体骨在骨几何形状和力学性能方面存在样本间的显著差异,这使得实验结果几乎无法重现。另一种方法是使用几何形状标准化的合成股骨,其材料特性近似人类骨骼,但样本间差异非常小。这种方法可得到可重复的实验结果,并为配套的有限元模型提供标准几何形状。虽然合成骨在几何形状上似乎适合模拟骨的力学行为,但尚未确定它们最接近哪种骨质量,即骨质疏松或骨质减少的骨与健康骨。此外,确定在适当调整输入材料特性或几何尺寸后,合成骨的有限元模型是否可用于模拟更广泛的骨质量和尺寸的力学行为也很有意义。为阐明这些问题,将尸体股骨的轴向和扭转刚度与合成股骨上测得的刚度进行了比较。作者先前验证过的一个代表合成股骨几何形状的有限元模型,随后与一系列输入材料特性和几何尺寸变化一起使用,以确定是否能模拟尸体实验结果。在中间站立姿势下,测量了25根人类尸体股骨(模拟骨量差)和三根合成“第三代复合材料”股骨(3GCF)(模拟正常健康骨量)的轴向和扭转刚度及刚性。在相同加载条件下,将测量结果与先前验证的3GCF三维有限元模型在各种杨氏模量值下预测的结果进行了比较。还创建了一个较小的3GCF有限元模型,以研究骨尺寸简单变化的影响。结果发现,3GCF的刚度明显高于目前使用的尸体样本(扭转加载时高2.3倍,轴向加载时高1.7倍)。然而,通过适当调整杨氏模量或几何尺寸,有限元模型能够成功模拟3GCF的行为以及广泛的尸体骨数据离散情况。合成股骨的刚度明显高于尸体骨样本。有限元模型对人类股骨的轴向和扭转刚度的上下限提供了良好估计,因为它能有效再现股骨的几何特性。尸体骨实验可用于校准有限元模型的输入材料特性,从而能够模拟不同质量的骨。

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